Sentence examples for width of the waves from inspiring English sources

However, it has a direct effect on the width of the SWs, and it is found that the width of the waves decreases as the magnitude of magnetic field (B_0) increases, i.e. the magnetic field makes the solitary structures more spiky.

However, it does have a direct effect on the width of the SWs and we have found that, as the magnitude of ({mathbf{B}}_{0}) increases, the width of the waves decreases, i.e. the magnetic field makes the solitary structures more spiky.

Equation (3) relates the width of the wave packet at time t with the initial width of the wave packet and the initial width of the momentum distribution.

By comparing Fig. 1a and b with each other, we can confirm that the width of the wave function becomes large as the value of r increases.

The width of the wave packet is not an observable - it has to be inferred from the statistical distribution of many measurements [61].

The square of the width of the wave packet (w_{s}(t)^{2}) evolves according to the following relation: w_{s}(t)^{2} = bigllangle hat{x}^{2}(t) bigrrangle _{s} = bigllangle hat{x}^{2}(0) bigrrangle + frac{t^{2}}{m^{2}} bigllangle hat{p}^{2}(0) bigrrangle.

In the presence of decoherence, the width of the wave packet increases more quickly: w(t)^{2} = bigllangle hat{x}^{2}(t) bigrrangle = w_{s}(t)^{2} + frac{2 Lambdahbar^{2}{{3 m^{2}} t^{3}.

(5) Given that the error of each position measurement is (Delta x_{j} = sigma), the error of our estimate of the width of the wave packet will be: Delta w = frac{sigma}{sqrt{N-1}} approxfrac{sigma}{sqrt {N}}, (6) where the approximation holds for large N.

Using examples from our own publications, we show how the different control schemes can be used to prepare the system in specific quantum states, or prepare quantum gates, or manipulate the position and width of the wave function, or control the geometry, photophysics, and photochemistry of the molecule in the excited state.

If we assume that we perform N measurements of the particle position and if the result of the jth measurement is (x_{j}), for large N, the width of the wave packet can be approximated as: w = frac{1}{sqrt{N-1}} sqrt{sum^{N}_{j=1} x^{2}_{j}}.

Wave scattering may lead to such severe widening of the frequency width of the Langmuir waves that wave power gains access to phase space regions with small or even negative growth rates.